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Finding the Fourth Proportional to 506.97, 699.15 and 320.14

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Solution

The fourth proportional to 506.97, 699.15 and 320.14 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 699.15 = 320.14 : x
  2. Step 2: Convert to fraction form
    506.97/699.15 = 320.14/x
  3. Step 3: Cross multiply
    506.97x = 699.15 × 320.14
  4. Step 4: Simplify right side
    506.97x = 223,822.39
  5. Step 5: Solve for x
    x = 223,822.39/506.97
  6. Step 6: Final answer
    x = 441.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.